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Local limit theorem in deterministic systems (1905.05164v1)
Published 13 May 2019 in math.DS and math.PR
Abstract: We show that for every ergodic and aperiodic probability preserving system, there exists a $\mathbb{Z}$ valued, square integrable function $f$ such that the partial sums process of the time series $\left{f\circ Ti\right}_{i=0}\infty$ satisfies the lattice local limit theorem.
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